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Finding the Third Proportional to 834,488 and 1,802,008

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Solution

The third proportional to 834,488 and 1,802,008 is: 3,891,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,488 : 1,802,008 = 1,802,008 : x
  2. Step 2: Convert to fraction form
    834,488/1,802,008 = 1,802,008/x
  3. Step 3: Cross multiply
    834,488x = 1,802,008 × 1,802,008
  4. Step 4: Simplify right side
    834,488x = 3,247,232,832,064
  5. Step 5: Solve for x
    x = 3,247,232,832,064/834,488
  6. Step 6: Final answer
    x = 3,891,287.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.